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Finding the Third Proportional to 14,612.91 and 31,169.81

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Solution

The third proportional to 14,612.91 and 31,169.81 is: 66,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.91 : 31,169.81 = 31,169.81 : x
  2. Step 2: Convert to fraction form
    14,612.91/31,169.81 = 31,169.81/x
  3. Step 3: Cross multiply
    14,612.91x = 31,169.81 × 31,169.81
  4. Step 4: Simplify right side
    14,612.91x = 971,557,211.29
  5. Step 5: Solve for x
    x = 971,557,211.29/14,612.91
  6. Step 6: Final answer
    x = 66,486.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.